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- W2104456391 abstract "Consider a chaotic difference equation xn+1=f(xn). We focus on the problem of control of chaos using a prediction-based control (PBC) method. If f has a unique positive equilibrium, it is proved that global stabilization of this equilibrium can be achieved under mild assumptions on the map f; if f has several positive equilibria, we demonstrate that more than one equilibrium can be stabilized simultaneously. We also show that it is still possible to stabilize an unstable equilibrium using a strategy of control with pulses, that is, the control is only applied after a fixed number of iterations. We illustrate our main results with several examples, mainly from population dynamics." @default.
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- W2104456391 date "2012-10-01" @default.
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- W2104456391 title "On stabilization of equilibria using predictive control with and without pulses" @default.
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- W2104456391 doi "https://doi.org/10.1016/j.camwa.2012.01.013" @default.
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